codazzi equation meaning in Hindi

Examples

1. In Dorpat he taught Karl Peterson and supervised his doctoral thesis that established the Gauss Bonnet theorem and derived Gauss Codazzi equations.
2. These equations can also be Pierre Bonnet proved that two quadratic forms satisfying the Gauss-Codazzi equations always uniquely determine an embedded surface locally.
3. For this reason the Gauss-Codazzi equations are often called the fundamental equations for embedded surfaces, precisely identifying where the intrinsic and extrinsic curvatures come from.